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Finding the Fourth Proportional to 678.17, 935.55 and 429.40

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Solution

The fourth proportional to 678.17, 935.55 and 429.40 is: 592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.17 : 935.55 = 429.40 : x
  2. Step 2: Convert to fraction form
    678.17/935.55 = 429.40/x
  3. Step 3: Cross multiply
    678.17x = 935.55 × 429.40
  4. Step 4: Simplify right side
    678.17x = 401,726.34
  5. Step 5: Solve for x
    x = 401,726.34/678.17
  6. Step 6: Final answer
    x = 592.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.